Question

solve the following
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Answer 1

i) a - 2b = 30

a = 30 + 2b----(1)

a + b = 180 (Given and Linear pair)

(30 + 2b) + b = 180 (From (1))

30 + 2b + b = 180

30 + 3b = 180

3b = 180 - 30

3b = 150

b = 150/3

b = 50

Substitute b = 50 in (1)

a = 30 + 2(50)

a = 30 + 100

a = 130

So, a = 50

b = 130

ii) a - b = 30

a = 30 + b----(1)

a + b = 180 (Given and Linear pair)

(30 + b) + b = 180 (From (1))

30 + b + b = 180

30 + 2b = 180

2b = 180 - 30

2b = 150

b = 150/2

b = 75

Substitute b = 75 in (1)

a = 30 + 75

a = 30 + 75

a = 105

So, a = 105

b = 75